Interpolation, Schur Functions and Moment Problems

2006
ISBN: 978-3-7643-7546-1
Verlag: Springer

Buch, Englisch, 304 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 736 g

Reihe: Linear Operators and Linear Systems

Schur analysis originated with an 1917 article which associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Zielgruppe

Research

Autoren/Hrsg.

Gohberg, Israel

Alpay, Daniel

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions.- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems.- Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions.- A Truncated Matricial Moment Problem on a Finite Interval.- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions.- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases.- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators.